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Finding the Fourth Proportional to 11,324.60, 15,642.90 and 9,442.34

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Solution

The fourth proportional to 11,324.60, 15,642.90 and 9,442.34 is: 13,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.60 : 15,642.90 = 9,442.34 : x
  2. Step 2: Convert to fraction form
    11,324.60/15,642.90 = 9,442.34/x
  3. Step 3: Cross multiply
    11,324.60x = 15,642.90 × 9,442.34
  4. Step 4: Simplify right side
    11,324.60x = 147,705,580.39
  5. Step 5: Solve for x
    x = 147,705,580.39/11,324.60
  6. Step 6: Final answer
    x = 13,042.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.